Lecture11-LaueBackscatteringI

Lecture11-LaueBacksc - EMSE 312 – Diffraction Principles Lecture 11 Laue Backscattering Techniques and Stereographic Projections EMSE 312

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Unformatted text preview: EMSE 312 – Diffraction Principles Lecture 11 Laue Backscattering Techniques and Stereographic Projections EMSE 312 DIFFRACTION PRINCIPLES EMSE 312 – Diffraction Principles Bragg’s Law • Real Space vs. Reciprocal Space Considerations ( ) B hkl 2d sin n θ λ = ⋅ Real Space Reciprocal Space Wave Vector - k k k’ hkl d λ 1 1’ 2 2’ B θ B θ B θ B θ ( ) B hkl d s i n θ ( ) B hkl d s i n θ n g B θ B θ k g k ' + = G G G EMSE 312 – Diffraction Principles Bragg’s Law • Reciprocal Space Reciprocal Space Wave Vector - k k k’ g B θ B θ k g k ' + = G G G 1 k k λ = = G 1 k ' k ' k λ = = = G Conservative Process – no loss pf energy g parallel to n – plane normal B B g sin k sin 2 θ θ λ = ⋅ = G B 2sin g θ λ = G ( ) B hkl 2d sin θ λ = hkl 1 g d ⇒ = G EMSE 312 – Diffraction Principles Laue Backscattering Technique • Consider a single crystal a b c Basis Vectors a , b and c Reciprocal Space a* b* c* Basis Vectors a* , b* and c* Diffraction for k g k ' + = G G G hkl g h a* k b* l c* = ⋅ + ⋅ + ⋅ G defines the Reciprocal Lattice EMSE 312 – Diffraction Principles...
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This note was uploaded on 12/01/2011 for the course EMSE 312 taught by Professor Lagerlof,p during the Spring '08 term at Case Western.

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Lecture11-LaueBacksc - EMSE 312 – Diffraction Principles Lecture 11 Laue Backscattering Techniques and Stereographic Projections EMSE 312

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